Results 61 to 70 of about 109 (99)

In Search of the Truly Marvelous Proof

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a,b, and c satisfy the equation a^n+b^n=c^n for any integer n>2.
Charles Kusniec
core  

Probabilistic degenerate poly-Bell polynomials associated with random variables

Mathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue, Yuankui Ma, Taekyun Kim, Dae San Kim, Wenpeng Zhang   +4 more
doaj   +1 more source

Proving Fermat’s Last Theorem Using Partial Differences of Powers and the Binomial Theorem

: Fermat's Last Theorem (FLT), proposed in 1637 by Pierre de Fermat, states that no positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer n > 2.
Charles Kusniec
core  

Some representations for inverse rising factorial moments

Mathematical and Computer Modelling of Dynamical Systems
Inverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics.
Xiaoxue Li, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
doaj   +1 more source

On a generalization of duality triads

Open Mathematics, 2006
Schork Matthias
doaj   +1 more source

Sequences of twice-iterated Δw-Gould–Hopper Appell polynomials

Journal of Taibah University for Science
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic properties
Neslihan Biricik, Bayram Çekim, Mehmet Ali Özarslan   +2 more
doaj   +1 more source

Two explicit formulas for the generalized Motzkin numbers. [PDF]

J Inequal Appl, 2017
Zhao JL, Qi F.
europepmc   +1 more source

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials. [PDF]

J Inequal Appl, 2018
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

Fourier series of sums of products of ordered Bell and poly-Bernoulli functions. [PDF]

J Inequal Appl, 2017
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

Congruences for central factorial numbers modulo powers of prime. [PDF]

Springerplus, 2016
Wang H, Liu G.
europepmc   +1 more source